Calculate 6414

If we add the same number x to the numbers -1,3,15,51, we get the first four members of the geometric sequence. Calculate the number x and the first four members of the geometric sequence.

Correct answer:

x =  3
a1 =  2
a2 =  6
a3 =  18
a4 =  54

Step-by-step explanation:

1,3,15,51  1+x,3+x,15+x,51+x  q(1+x) = 3+x q(3+x) = 15+x  q3q = 315 q=(153)/(1+3)=3  x=(q3)/(1q)=(33)/(13)=3
a1=1+x=1+3=2
a2=3+x=3+3=6
a3=15+x=15+3=18
a4=51+x=51+3=54



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